POSITIVE SOLUTIONS TOp(x)-LAPLACIAN–DIRICHLET PROBLEMS WITH SIGN-CHANGING NON-LINEARITIES

DOI10.1017/S0017089510000388zbMath1200.35154OpenAlexW1992310507MaRDI QIDQ4933564

Xian-Ling Fan

Publication date: 14 October 2010

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089510000388

zbMATH Keywords

existencepositive solutions\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Positive solutions to PDEs (35B09)

Related Items (2)

Liouville theorems for elliptic problems in variable exponent spaces ⋮ Existence of weak solutions for some nonlinear elliptic equations with variable exponents

Cites Work

• On the sub-supersolution method for \(p(x)\)-Laplacian equations
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• Overview of differential equations with non-standard growth
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• Remarks on eigenvalue problems involving the \(p(x)\)-Laplacian
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• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Continuous spectrum for a class of nonhomogeneous differential operators
• On a class of quasilinear problems with sign-changing nonlinearities
• Existence and asymptotic behavior of positive solutions for variable exponent elliptic systems
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• A class of De Giorgi type and Hölder continuity
• Positive solutions for a semilinear elliptic problem with sign-changing nonlinearity
• Positive solutions to semilinear problems with coefficient that changes sign
• On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
• On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
• Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Regularity results for a class of functionals with non-standard growth
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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